An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis
Nonlinear seismic analysis, an approach to evaluate the seismic performance of a structure, is facing the challenge of computational efficiency for large-scale and high-fidelity simulation. This paper proposes an adaptive model order reduction (MOR) method based on the damage evolution among the ove...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/8865255 |
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| author | Jian Wang Ming Fang Hui Li |
| author_facet | Jian Wang Ming Fang Hui Li |
| author_sort | Jian Wang |
| collection | DOAJ |
| description | Nonlinear seismic analysis, an approach to evaluate the seismic performance of a structure, is facing the challenge of computational efficiency for large-scale and high-fidelity simulation. This paper proposes an adaptive model order reduction (MOR) method based on the damage evolution among the overall structure to alleviate the computational burden. The damage state of each component during seismic loadings is distinguished as the initial-elastic phase, the plastic-damage phase, and the residual-elastic phase. In order to exploit the potential of model order reduction based on the damage evolution, a duration spectrum analysis is utilized to evaluate the characteristics of the residual-elastic phase for SDOF systems with bilinear hysteretic behaviour. Thus, an adaptive MOR method has been proposed to handle the nonlinear dynamic analysis of structures during different damage evolution phases. The overall structure is adaptively partitioned into linear substructures and nonlinear substructures on the basis of the time-varying damage distribution. The model order of linear substructures is reduced using the initial stiffness-based vibration modes, while nonlinear substructures that keep in the residual-elastic phase are reduced using the tangent-stiffness-based vibration modes. The residual displacements of nonlinear substructures are treated as the initial deformation during the residual-elastic phase. Compared with the traditional time step integration method, the proposed adaptive MOR method is able to increase the computational efficiency as yielding comparative results. |
| format | Article |
| id | doaj-art-dab0e84c9ff846d3b7f2600afbde05d8 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-dab0e84c9ff846d3b7f2600afbde05d82025-02-03T05:49:40ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/88652558865255An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic AnalysisJian Wang0Ming Fang1Hui Li2Key Lab of Structures Dynamic Behaviour and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaKey Lab of Structures Dynamic Behaviour and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, ChinaNonlinear seismic analysis, an approach to evaluate the seismic performance of a structure, is facing the challenge of computational efficiency for large-scale and high-fidelity simulation. This paper proposes an adaptive model order reduction (MOR) method based on the damage evolution among the overall structure to alleviate the computational burden. The damage state of each component during seismic loadings is distinguished as the initial-elastic phase, the plastic-damage phase, and the residual-elastic phase. In order to exploit the potential of model order reduction based on the damage evolution, a duration spectrum analysis is utilized to evaluate the characteristics of the residual-elastic phase for SDOF systems with bilinear hysteretic behaviour. Thus, an adaptive MOR method has been proposed to handle the nonlinear dynamic analysis of structures during different damage evolution phases. The overall structure is adaptively partitioned into linear substructures and nonlinear substructures on the basis of the time-varying damage distribution. The model order of linear substructures is reduced using the initial stiffness-based vibration modes, while nonlinear substructures that keep in the residual-elastic phase are reduced using the tangent-stiffness-based vibration modes. The residual displacements of nonlinear substructures are treated as the initial deformation during the residual-elastic phase. Compared with the traditional time step integration method, the proposed adaptive MOR method is able to increase the computational efficiency as yielding comparative results.http://dx.doi.org/10.1155/2020/8865255 |
| spellingShingle | Jian Wang Ming Fang Hui Li An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis Advances in Civil Engineering |
| title | An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis |
| title_full | An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis |
| title_fullStr | An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis |
| title_full_unstemmed | An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis |
| title_short | An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis |
| title_sort | adaptive model order reduction method based on the damage evolution for nonlinear seismic analysis |
| url | http://dx.doi.org/10.1155/2020/8865255 |
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